Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T04:45:24.432932Z
Paper Citation Record · LEDGER
Path integral approach to quantum thermalization
As of 23 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 4 inbound Pith citation observations for arXiv:2509.06028.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T12:47:29.139078Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
45 of 45 outbound references displayed
- verified exact1
- verified fuzzy27
- unresolved15
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation 3af25408-4f26-4015-a142-1e33b0cc29d1 · outbound
This paper cites While Eq.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.539873Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e7217549-78a7-4f42-8565-6a05068a3355 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.530581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ae7716d6-2c91-4cfd-bca7-2530540eee8d · outbound
This paper cites Averaging overUyields the generalization of Eq.
Path integral approach to quantum thermalization Averaging overUyields the generalization of Eq
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.521257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b203c4ec-95fe-4ce4-80b3-25541a710cdb · outbound
This paper cites How- ever, at this point the advantage of theGΣ-construction becomes evident: the interaction containsψin the form of color singlets Eq.
Path integral approach to quantum thermalization How- ever, at this point the advantage of theGΣ-construction becomes evident: the interaction containsψin the form of color singlets Eq
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.511636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 28b0ab85-221a-48a6-b3ac-3be63f84dbd8 · outbound
This paper cites (41) reads as 0=δ Σj S[ ¯G, ¯Σ, B]=D ( ¯Gj+iτ 3(G−1(Bj)−i ¯Σjτ3)−1) , 0=δ Gj S[ ¯G, ¯Σ, B]=D ¯Σj+δ Gj Sint[ ¯G].
Path integral approach to quantum thermalization (41) reads as 0=δ Σj S[ ¯G, ¯Σ, B]=D ( ¯Gj+iτ 3(G−1(Bj)−i ¯Σjτ3)−1) , 0=δ Gj S[ ¯G, ¯Σ, B]=D ¯Σj+δ Gj Sint[ ¯G]
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.502681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 595091ea-0fd2-4422-814d-c87ca354a8e2 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.492447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a0a6bef6-3551-4d58-a60f-4ae4594164d1 · outbound
This paper cites Reminiscing a scalar potential coupling, it suggests removingϕfrom the action by a time-dependent gauge transformation.
Path integral approach to quantum thermalization Reminiscing a scalar potential coupling, it suggests removingϕfrom the action by a time-dependent gauge transformation
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.483047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 02200b58-553b-4bed-97fe-2b4377a417ba · outbound
This paper cites However, it reappears in opera- tors representing correlation functions in the form of gauge-phase factors containing discrete time integrals overΘ n.
Path integral approach to quantum thermalization However, it reappears in opera- tors representing correlation functions in the form of gauge-phase factors containing discrete time integrals overΘ n
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.473077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 03efb411-565d-401f-bcb2-54e3c712a95a · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.462640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c543e80d-a234-444b-97c5-cde47b394019 · outbound
This paper cites The representation K1(t)=t−(t−D)Θ(t−D), indicates that the termination of the semiclassical rampK 1,semicl.
Path integral approach to quantum thermalization The representation K1(t)=t−(t−D)Θ(t−D), indicates that the termination of the semiclassical rampK 1,semicl
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.453603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 97d298ea-81d5-4b09-ad78-fa9bdd4fcaa8 · outbound
This paper cites particle-hole excitation.
Path integral approach to quantum thermalization particle-hole excitation
Reference 11
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-05T04:45:23.126737Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85cc7a27-7ee5-44a6-898d-9bcca173b5b8 · outbound
This paper cites It implies the vector integral generalization δµρ = ∫ Dψ e− ¯ψψ ψµ ¯ψρ (A1) whereψ={ψ µ}now is aD-component Grassmann vector, Dψ= ∏µ d ¯ψµdψµ and ¯ψψ= ∑µ ¯ψµψµ.
Path integral approach to quantum thermalization It implies the vector integral generalization δµρ = ∫ Dψ e− ¯ψψ ψµ ¯ψρ (A1) whereψ={ψ µ}now is aD-component Grassmann vector, Dψ= ∏µ d ¯ψµdψµ and ¯ψψ= ∑µ ¯ψµψµ
Reference 12
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- raw_fallback, observed 2026-08-05T04:45:26.437571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cc6cebfc-725e-4115-8708-2a7e505d95ff · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.428122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9fb62256-76ed-4537-bb3e-ba0843a7b6be · outbound
This paper cites Collecting the quadratic terms in Eqs.
Path integral approach to quantum thermalization Collecting the quadratic terms in Eqs
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.418514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6c252034-12b0-4108-8620-9213c85c3858 · outbound
This paper cites Our starting point is the configurations Eq.
Path integral approach to quantum thermalization Our starting point is the configurations Eq
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.409102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9affe1d4-a22c-45fb-b133-2d7b582a8185 · outbound
This paper cites (3) as de- scribed by an integral overG=−iT τ 3T−1 with the action Eq.
Path integral approach to quantum thermalization (3) as de- scribed by an integral overG=−iT τ 3T−1 with the action Eq
Reference 16
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- raw_fallback, observed 2026-08-05T04:45:26.399663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 08113055-acc7-49fc-a845-deb95944e029 · outbound
This paper cites To this end, consider the expansion Eq.
Path integral approach to quantum thermalization To this end, consider the expansion Eq
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.390184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f88592fc-4866-4f37-af90-4d6da962d889 · outbound
This paper cites Noting that theT-rotations do not couple to the second and third term in the first line due cyclic invariance, we focus on the first term.
Path integral approach to quantum thermalization Noting that theT-rotations do not couple to the second and third term in the first line due cyclic invariance, we focus on the first term
Reference 18
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- raw_fallback, observed 2026-08-05T04:45:26.380945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6b796e80-a776-4b7d-a08e-a865a34fb7a3 · outbound
This paper cites We substitute the representationG=T ¯GT−1 with the mean field solution Eq.
Path integral approach to quantum thermalization We substitute the representationG=T ¯GT−1 with the mean field solution Eq
Reference 19
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- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.371086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 54ddfa6b-5770-429e-9bee-f7cec0ea5cfe · outbound
This paper cites Essen- tially, this amounts to taking continuum limits of the for- mulas discussed there.
Path integral approach to quantum thermalization Essen- tially, this amounts to taking continuum limits of the for- mulas discussed there
Reference 20
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- raw_fallback, observed 2026-08-05T04:45:26.361624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation be777059-2420-4f6f-b0dc-abe5c78af1f6 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.351761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8e2dba2a-855d-412b-b4a4-c78fbb3bb770 · outbound
This paper cites Fran¸ ca, Making quantum dynamics exact, Physics14, 60 (2021), publisher: American Physical Society.
Path integral approach to quantum thermalization Fran¸ ca, Making quantum dynamics exact, Physics14, 60 (2021), publisher: American Physical Society
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.343111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 66a62952-93b3-44ed-af0d-7e08d5e164fa · outbound
This paper cites Nandkishore and D.
Path integral approach to quantum thermalization Nandkishore and D
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.334092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3e290156-58cb-4fd2-8579-175c971b7027 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T04:45:23.634028Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7081de8a-68db-4563-b54b-2fdc8ff1eb95 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 25
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- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.318544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5d2690b7-fc49-4d2b-a48f-2fd352a39808 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 26
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- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.309719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 88402ff0-0097-475b-8842-6ade0ff9d288 · outbound
This paper cites Fritzsch and T.
Path integral approach to quantum thermalization Fritzsch and T
Reference 27
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- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.300947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 163aa548-8b78-40bd-b73d-7efcec857ffd · outbound
This paper cites Altland and B.
Path integral approach to quantum thermalization Altland and B
Reference 28
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- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.291686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation af7fb857-634d-4497-baa2-45f168b3c161 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 29
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- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.283211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f2da0bb7-25bb-4277-b085-6a78090459e0 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 30
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- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.274229Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 54f4d205-534a-4ebf-975c-eb2c6d63f3ea · outbound
This paper cites Rosenhaus, An introduction to the syk model, Journal of Physics A: Mathematical and Theoretical52, 323001 (2019), publisher: IOP Publishing.
Path integral approach to quantum thermalization Rosenhaus, An introduction to the syk model, Journal of Physics A: Mathematical and Theoretical52, 323001 (2019), publisher: IOP Publishing
Reference 31
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- raw_fallback, observed 2026-08-05T04:45:26.264285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4375db77-16a7-48f5-af22-c0e0cbeda3b0 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 32
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- unresolved
- raw_fallback, observed 2026-08-05T04:45:26.254376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fe9ceff8-c5a5-4403-9d62-3d12ee964188 · outbound
This paper cites Alternatively, one may think of them as fermionic or bosonic creation and annihilation operators.
Path integral approach to quantum thermalization Alternatively, one may think of them as fermionic or bosonic creation and annihilation operators
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:26.174638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 738ff093-ba66-4b99-baee-166ef270e615 · outbound
This paper cites ⟩will denote path integra- tion, ensemble averaging, or both.
Path integral approach to quantum thermalization ⟩will denote path integra- tion, ensemble averaging, or both
Reference 34
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- raw_fallback, observed 2026-08-05T04:45:26.022743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dec97200-2edf-4859-beb9-232e8708298f · outbound
This paper cites Haake,Quantum signatures of chaos, 4th edition (Springer-Verlag, Berlin, 2018).
Path integral approach to quantum thermalization Haake,Quantum signatures of chaos, 4th edition (Springer-Verlag, Berlin, 2018)
Reference 35
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- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:25.837591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a79052e0-41f5-4e34-80d2-e9c945aad2f9 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 36
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- unresolved
- raw_fallback, observed 2026-08-05T04:45:25.692163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 89506e9a-8bd2-4e28-afc1-6f74be3aa406 · outbound
This paper cites Coherent states for arbitrary Lie group.
Path integral approach to quantum thermalization Coherent states for arbitrary Lie group
Reference 37
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- unresolved
- no resolver link, observed 2026-08-05T04:45:24.091217Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58df5f3e-c4a3-45f9-8c73-12792a8d510f · outbound
This paper cites Kamenev,Field Theory of Non-Equilibrium Systems (Cambridge University Press, 2011).
Path integral approach to quantum thermalization Kamenev,Field Theory of Non-Equilibrium Systems (Cambridge University Press, 2011)
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T04:45:24.155509Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce925315-e02c-40f6-ac4e-c98105fb9d30 · outbound
This paper cites Tyagi and K.
Path integral approach to quantum thermalization Tyagi and K
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:25.576597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a5f5905b-5639-47cc-a75d-69795de43970 · outbound
This paper cites Feynman Path Integrals Over Entangled States.
Path integral approach to quantum thermalization Feynman Path Integrals Over Entangled States
Reference 40
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T04:45:24.616001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 86bd5f24-420e-435a-93e0-9c80897490b3 · outbound
This paper cites an unresolved cited work.
Path integral approach to quantum thermalization Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:45:25.422296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1a49cebc-f4a8-49de-b922-9cde1d669a2c · outbound
This paper cites Altland and A.
Path integral approach to quantum thermalization Altland and A
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:25.247780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8dbdeb92-13ee-48e0-a8a6-775112bbce58 · outbound
This paper cites As an example, we mention rotor models, where the path integral of individual kicked rotors is under excel- lent control [24].
Path integral approach to quantum thermalization As an example, we mention rotor models, where the path integral of individual kicked rotors is under excel- lent control [24]
Reference 43
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- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:25.021267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e0ab8e99-92d2-425c-a15d-a1086e6a6584 · outbound
This paper cites Tian and A.
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:45:24.854896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation febcef7f-3caa-4254-9f3b-22e4664f87f7 · outbound
This paper cites M¨ uller, S.
Path integral approach to quantum thermalization M¨ uller, S
Reference 45
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-05T04:45:24.432932Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 2588fee3-cd72-4826-8808-67dcd7a2491e · inbound
Chaotic many-body quantum dynamics, spectral correlations, and energy diffusion cites this paper.
Chaotic many-body quantum dynamics, spectral correlations, and energy diffusion Path integral approach to quantum thermalization
Reference 37
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- unresolved
- no resolver link, observed 2026-08-04T12:47:29.139078Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4d53305-6fe5-4aef-bd3c-afb5ae12e325 · inbound
Semiclassical foundation of universality in chaotic quantum circuits cites this paper.
Semiclassical foundation of universality in chaotic quantum circuits Path integral approach to quantum thermalization
Reference 34
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T16:43:39.969605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9db05628-31fd-4bd1-8b73-909da061ca00 · inbound
Provable random-matrix spectral ramp in a static, geometrically local Hamiltonian cites this paper.
Provable random-matrix spectral ramp in a static, geometrically local Hamiltonian Path integral approach to quantum thermalization
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T05:44:17.326808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f69fb537-ee4e-44fd-a01d-58ed1ceb9231 · inbound
Entanglement in bipartite systems with symmetry: coupled chaotic kicked Bose-Hubbard systems cites this paper.
Entanglement in bipartite systems with symmetry: coupled chaotic kicked Bose-Hubbard systems Path integral approach to quantum thermalization
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T12:31:18.003466Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.